Write the First Four Terms of the Sequence Whose General $$a _ { n } = \frac { n ^ { 3 } } { ( n - 1 ) ! }$$

question 19

Multiple Choice

Write the first four terms of the sequence whose general term is given.
- $$a _ { n } = \frac { n ^ { 3 } } { ( n - 1 ) ! }$$

• A) \(\frac { 3 } { 0 } , \frac { 6 } { 0 } , \frac { 9 } { 2 } , 2\)
• B) \(1,8 , \frac { 27 } { 2 } , \frac { 32 } { 3 }\)
• C) \(\frac { 1 } { 0 } , \frac { 8 } { 0 } , \frac { 27 } { 2 } , \frac { 32 } { 3 }\)
• D) \(3,6 , \frac { 9 } { 2 } , 2\)

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Definitions:

Simplify Expression

The process of performing all possible arithmetic operations within an expression to reduce it to its simplest form.

Distributive Property

A property in algebra that allows for the multiplication of a single term and two or more terms inside a set of parentheses.

Coefficients

Numbers or constants placed before and multiplying the variables in an algebraic expression, indicating their relation.

Simplify

The process of making an expression or equation easier to understand or solve by reducing its complexity.